What is the Greatest Common Factor of 87690 and 87710?

Greatest common factor (GCF) of 87690 and 87710 is 10.

GCF(87690,87710) = 10

We will now calculate the prime factors of 87690 and 87710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87690 and 87710.

How to find the GCF of 87690 and 87710?

We will first find the prime factorization of 87690 and 87710. After we will calculate the factors of 87690 and 87710 and find the biggest common factor number .

Step-1: Prime Factorization of 87690

Prime factors of 87690 are 2, 3, 5, 37, 79. Prime factorization of 87690 in exponential form is:

87690 = 2¹ × 3¹ × 5¹ × 37¹ × 79¹

Step-2: Prime Factorization of 87710

Prime factors of 87710 are 2, 5, 7, 179. Prime factorization of 87710 in exponential form is:

87710 = 2¹ × 5¹ × 7² × 179¹

Step-3: Factors of 87690

List of positive integer factors of 87690 that divides 87690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 79, 111, 158, 185, 222, 237, 370, 395, 474, 555, 790, 1110, 1185, 2370, 2923, 5846, 8769, 14615, 17538, 29230, 43845

Step-4: Factors of 87710

List of positive integer factors of 87710 that divides 87690 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 179, 245, 358, 490, 895, 1253, 1790, 2506, 6265, 8771, 12530, 17542, 43855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87690 and 87710. The biggest common factor number is the GCF number.
So the greatest common factor 87690 and 87710 is 10.

Also check out the Least Common Multiple of 87690 and 87710